Chapter 1: Systems of Measurement
Page 1
Section: 1–1 Topic: Units Type: Factual
1. Which of the following is a fundamental unit of the SI system of units?
A) kilometer B) joule C) kilogram D) gram E) newton
Ans: C
Section: 1–1 Topic: Units Type: Factual
3. The prefix “giga” means
A) 1012 B) 106 C) 103 D) 109 E) 1015
Ans: D
Section: 1–1 Topic: Units Type: Factual
4. Which of the following is NOT one of the fundamental physical quantities in the SI
system?
A) mass
B) length
C) force
D) time
E) All of these are fundamental physical quantities in the SI system.
Ans: C
Section: 1–1 Topic: Units Type: Factual
5. The prefix “mega” means
A) 102 B) 109 C) 10–3 D) 106 E) 10–6
Ans: D
Section: 1–1 Topic: Units Type: Factual
6. The prefix “pico” means
A) 10–12 B) 10–6 C) 10–3 D) 106 E) 109
Ans: A
Section: 1–1 Topic: Units Type: Factual
7. The prefix “micro” means
A) 10–12 B) 10–6 C) 10–3 D) 10–2 E) 10–1
Ans: B
Section: 1–1 Topic: Units Type: Factual
8. The prefix “milli” means
A) 10–12 B) 10–6 C) 10–3 D) 10–2 E) 10–1
Ans: C
Section: 1–1 Topic: Units Type: Factual
2. The SI unit for mass is
A) g B) mg C) g D) kg E) lb
Ans: D
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Chapter 1: Systems of Measurement
Page 2
Section: 1–1 Topic: Units Type: Factual
9. The prefix “centi” means
A) 10–12 B) 10–6 C) 10–3 D) 10–2 E) 10–1
Ans: D
Section: 1–1 Topic: Units Type: Factual
10. The prefix “kilo” means
A) 1012 B) 108 C) 106 D) 103 E) 101
Ans: D
Section: 1–1 Topic: Units Type: Factual
11. The prefix “nano” means
A) 10–12 B) 10–6 C) 10–3 D) 10–2 E) None of these is correct.
Ans: E
Section: 1–1 Topic: Units Type: Factual
12. Which of the following prefixes does NOT represent a fractional part of a whole unit?
A) nano B) micro C) kilo D) milli E) deci
Ans: C
Section: 1–1 Topic: Units Type: Factual
13. Which of the following prefixes does NOT represent a quantity larger than a single unit?
A) kilo B) mega C) giga D) tera E) femto
Ans: E
Section: 1–1 Topic: Units Type: Factual
14. Which of the following is NOT one of the fundamental units in the SI system?
A) Newton
B) meter
C) kilogram
D) second
E) All of the above are fundamental units in the SI system.
Ans: A
Section: 1–1 Topic: Units Type: Factual
15. The fundamental physical quantities are
A) mass, length, time, temperature, amount of a substance, current, and luminous
intensity.
B) weight, length, time, temperature, amount of a substance, current, and luminous
intensity.
C) mass, length, time, temperature, force, current, and luminous intensity.
D) mass, length, time, force, momentum, amount of a substance, and current.
E) weight, length, time, temperature, amount of a substance, potential energy, and
luminous intensity.
Ans: A
Chapter 1: Systems of Measurement
Page 3
Section: 1–2 Topic: Conversion of Units Type: Numerical
16. The density of seawater was measured to be 1.07 g/cm3. This density in SI
units is
A) l.07 10–3 kg/m3 D) 1.07 10–3 kg
B) (1/1.07) 103 kg/m3 E) 1.07 103 kg/m3
C) 1.07 103 kg
Ans: E
Section: 1–2 Topic: Conversion of Units Type: Numerical
17. To convert a quantity from km/h to m/s, you must
A) multiply by 1000 and divide by 60. D) multiply by 3600 and divide by 1000.
B) multiply by 1000 and divide by 3600. E) None of these is correct.
C) multiply by 60 and divide by 1000.
Ans: B
Section: 1–2 Topic: Conversion of Units Type: Numerical
18. To convert a quantity from m/s to km/h, you must
A) multiply by 1000 and divide by 60. D) multiply by 3600 and divide by 1000.
B) multiply by 1000 and divide by 3600. E) None of these is correct.
C) multiply by 60 and divide by 1000.
Ans: D
Section: 1–2 Topic: Conversion of Units Type: Numerical
19. To convert a quantity from km/(hr · s) to m/s2, you must
A) multiply by 1000 and divide by 60. D) multiply by 3600 and divide by 1000.
B) multiply by 60 and divide by 3600. E) None of these is correct.
C) multiply by 60 and divide by 1000.
Ans: E
Section: 1–2 Topic: Conversion of Units Type: Numerical
20. To convert a quantity from g/cm3 to kg/m3, you must
A) multiply by 0.01. D) multiply by 0.001.
B) multiply by 100. E) multiply by 1,000,000.
C) multiply by 1000.
Ans: C
Chapter 1: Systems of Measurement
Page 4
Section: 1–2 Topic: Conversion of Units Type: Numerical
21. In doing a calculation, you arrive at an expression in which the numerator is in
kilometers and the denominator is in meters per second. When the calculation is
completed, the result will be in units of
A) meters, if you divide by 1000.
B) meters, if you multiply by 1000.
C) seconds, if you divide by 1000.
D) seconds, if you multiply by 1000.
E) meters squared per second, if you multiply by 1000.
Ans: D
Section: 1–2 Topic: Conversion of Units Type: Numerical
22. You are traveling at a speed of 80 km/hr. Your speed in mph is approximately
A) 30 B) 40 C) 50 D) 60 E) 70
Ans: C
Section: 1–2 Topic: Conversion of Units Type: Conceptual
23. In doing a calculation, you end up with a fraction having m/s in the numerator and m/s2
in the denominator. The result will have units of
A) m2/s3 B) s–1 C) s3/m2 D) s E) m/s
Ans: D
Section: 1–2 Status: New to 5th edition Topic: Conversion of Units
Type: Numerical
24. The density of an object equals its mass divided by its volume. The mass of Earth is 6
1024 kg and its radius is 4 103 miles. The mass of the Sun is 2 1033 g and its radius is
7 105 km. Calculate the Earth's density divided by that of the Sun.
A) 4 101 B) 4 102 C) 4 100 D) 4 101 E) none of the above
Ans: C
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
25. The dimensions of mass density are
A) MLT –1 B) ML3 C) ML2 D) ML–1 E) None of these is correct.
Ans: E
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
26. The dimensions of two quantities MUST be identical if you are either __________ or
__________ the quantities.
A) adding; multiplying D) adding; subtracting
B) subtracting; dividing E) All of these are correct.
C) multiplying; dividing
Ans: D
Chapter 1: Systems of Measurement
Page 5
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
27. In the expression Fnet = ma, m must have the dimensions
A) ML/T 2 B) M C) L/T 2 D) L/T E) ML2/T 2
Ans: B
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
28. If K has dimensions ML2/T 2, the k in K = kmv 2 must
A) have the dimensions ML/T 2. D) have the dimensions L2/T 2.
B) have the dimensions M. E) be dimensionless.
C) have the dimensions L/T 2.
Ans: E
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
29. If x and t represent distance and time, respectively, the C in x = 1/2Ct 2 must
A) have the dimensions ML/T 2. D) have the dimensions L2/T 2.
B) have the dimensions M. E) be dimensionless.
C) have the dimensions L/T 2.
Ans: C
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
30. If v and t represent velocity and time, respectively, C1 in v = C1e–C
2t must
A) have the dimensions L/T. D) have the dimensions L2/T 2.
B) have the dimensions L2/T. E) be dimensionless.
C) have the dimensions L/T 2.
Ans: A
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
31. If v and t represent velocity and time, respectively, C2 in v = C1e–C
2t must
A) have the dimensions L/T. D) have the dimensions L2/T 2.
B) have the dimensions 1/T. E) be dimensionless.
C) have the dimensions L/T 2.
Ans: B
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
32. If x and t represent position and time, respectively, the A in x = A cos Bt must
A) have the dimensions L/T. D) have the dimensions L2/T 2.
B) have the dimensions 1/T. E) be dimensionless.
C) have the dimensions L.
Ans: C
Chapter 1: Systems of Measurement
Page 6
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
33. If x and t represent position and time, respectively, the B in x = A cos Bt must
A) have the dimensions L/T. D) have the dimensions L2/T 2.
B) have the dimensions 1/T. E) be dimensionless.
C) have the dimensions L.
Ans: B
Section: 1–3 Topic: Dimensions of Physical Quantities Type: Conceptual
34. In Newton's Law of Gravity the universal gravitational constant G = Fr2/m1m2, where F
is the gravitational force between the two masses, m1 and m2, and r is the distance
between them. What are the dimensions of G?
A) L2M1T 2 B) L3M1T 2 C) L2M2T 2 D) L3M1T 2 E) L3M1T 3
Ans: B
Section: 1–3 Status: New to 6th edition Topic: Dimensions of Physical Quantities
Type: Conceptual
35. The dimensions of energy, E, are ML2/T 2. Using dimensional analyzes, E is the product
of which two quantities?
A) Mass divided by time squared D) force times distance
B) Force times acceleration E) force divided by time squared
C) Mass times acceleration
Ans: D
Section: 1–4 Topic: Scientific Notation Type: Numerical
36. Evaluate:
(4.0 10–6)(3.0 104)
A) 12 1010 B) 1.2 10–10 C) 12 10–5 D) 1.2 10–1 E) 12 10–10
Ans: D
Section: 1–4 Topic: Scientific Notation Type: Numerical
37. Evaluate:
A) 1.1 105 B) 1.7 10–4 C) 3.6 10–8 D) 4.5 105 E) 1.1
Ans: E
Chapter 1: Systems of Measurement
Page 7
Section: 1–4 Topic: Scientific Notation Type: Numerical
38. Compute:
A) 1 1017 D) 4 107
B) 6 107 E) None of these is correct.
C) 8 1017
Ans: D
Section: 1–4 Topic: Scientific Notation Type: Numerical
39. Compute:
A) 3.3 10–6 D) 3.3 10–1
B) 5.1 106 E) None of these is correct.
C) 5.1 10–12
Ans: D
Section: 1–4 Topic: Scientific Notation Type: Numerical
40. When we look up in the sky the Sun appears about as big as the moon; however, we
know that the Sun is much further away. Given that the radius of the Sun is about
7 108 m and that the radius of the moon is about 2 106 m, calculate approximately
the number of times the moon could fit inside the Sun.
A) 4 102 B) 4 106 C) 4 107 D) 1 105 E) 2 105
Ans: C
Section: 1–4 Topic: Scientific Notation Type: Numerical
41. Compute:
(12 106 2 107) / (12 107 + 7 106)
A) 7.1 102 B) 7.0 106 C) 2.0 108 D) 7.1 102 E) 2 105
Ans: A
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Conceptual
42. The measurement 5.130 10–4 has _____ significant figures.
A) two B) three C) one D) seven E) four
Ans: E
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Conceptual
43. The measurement 23.0040 has _____ significant figures.
A) six B) three C) five D) four E) two
Ans: A
Chapter 1: Systems of Measurement
Page 8
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Numerical
44. The number of seconds in a month is of the order of
A) 103 B) 108 C) 105 D) 1010 E) 106
Ans: E
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Factual
45. Earth's population, expressed as an order of magnitude, is closest to
A) 106 B) 1010 C) 105 D) 108 E) 107
Ans: B
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Numerical
46. The chemical agent dioxin can be toxic or hazardous to humans in concentrations as
small as one part per billion. If I am testing a soil sample that has a mass of 1.0 kg, how
much dioxin would have to be present for me to label it toxic or hazardous?
A) a picogram D) a milligram
B) a kilogram E) a nanogram
C) a microgram
Ans: C
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Numerical
47. An impurity in a manufacturing process will cause a batch to be rejected if the impurity
exceeds one part per million. What is the maximum amount of impurity that could be
present if the batch contains 100 kg of the product?
A) 100 micrograms D) 100 megagrams
B) 100 nanograms E) 100 milligrams
C) 100 grams
Ans: E
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Factual
48. What is the order of magnitude of Earth's tallest mountain heights?
A) 108 m B) 104 m C) 106 m D) 103 m E) 105 m
Ans: B
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Factual
50. A person inhales about 1 L of air per breathe. Estimate the number of air molecules
inhaled.
A) 1010 B) 1014 C) 1018 D) 1022 E) 1026
Ans: D
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Numerical
49. The longest bridge on Earth is of the order of
A) 103 m B) 104 m C) 105 m D) 106 m E) 107 m
Ans: B
Chapter 1: Systems of Measurement
Page 9
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Numerical
51. Estimate the number of raindrops needed to fill a volume of 1m 1m 1cm.
A) 103 B) 105 C) 107 D) 109 E) 1011
Ans: C
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Numerical
52. Light travels at 3 108 m/s, and it takes about 8 min for light from the sun to travel to
Earth. Based on this, the order of magnitude of the distance from the sun to Earth is
A) 1010 m B) 108 m C) 109 m D) 106 m E) 1011 m
Ans: E
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Numerical
53. The momentum of a body is defined to be the product of its mass and its velocity. If the
mass of an air-track glider is known to be 225 g and its velocity is measured to be 3.1
cm/s, its momentum should be reported as
A) 697.5 g · cm/s D) 6.98 102 g · cm/s
B) 698 g · cm/s E) 6.975 102 g · cm/s
C) 7.0 102 g · cm/s
Ans: C
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Numerical
54. The net force acting on a body is defined to be the product of the mass of the body and
its resultant acceleration. If the mass of a body is known to be 184 kg and its
acceleration is measured to be 2.4 m/s2, the resultant force should be reported as
A) 4.4 102 kg · m/s2 D) 4.416 kg · m/s2
B) 441.6 kg · m/s2 E) 4.42 102 kg · m/s2
C) 442 kg · m/s2
Ans: A
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Factual
55. Which of the following represents a value of current measured to at least five significant
figures?
A) 2.375 104 A D) 23.75 101 A
B) 0.00347 A E) 50.300 A
C) 3.0 105 A
Ans: E
Chapter 1: Systems of Measurement
Page 10
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Conceptual
56. The size of a proton is of the order of 10–15 m and the size of the visible universe is of
the order of 1026 m. From this information you can conclude that
A) the size of the universe is 26 orders of magnitude greater than that of the proton.
B) the size of the universe is 41 orders of magnitude greater than that of the proton.
C) the size of the proton is 11 orders of magnitude greater than that of the universe.
D) the size of the universe is 15 orders of magnitude greater than that of the proton.
E) the size of the proton is 15 orders of magnitude greater than that of the universe.
Ans: B
Section: 1–5 Topic: Significant Figures & Order of Magnitude Type: Conceptual
57. The mass of an electron is of the order of 10–30 kg and the mass of the universe is
believed to be of the order of 1052 kg. From this information you can conclude that
A) the mass of Earth is 52 orders of magnitude greater than that of the electron.
B) the mass of Earth is 30 orders of magnitude greater than that of the electron.
C) the mass of the electron is 82 orders of magnitude greater than that of Earth.
D) the mass of Earth is 82 orders of magnitude greater than that of the electron.
E) the mass of the electron is 30 orders of magnitude greater than that of Earth.
Ans: D
Section: 1–5 Status: New to 5th edition Topic: Significant Figures & Order of
Magnitude Type: Numerical
58. Light travels at 3 108 m/s, and the size of a proton is about 1 fm. Calculate the order of
magnitude for the time taken for light to pass across a proton.
A) 107 s B) 108 s C) 1022 s D) 1023 s E) 1023 s
Ans: C
Section: 1–5 Status: New to 5th edition Topic: Significant Figures & Order of
Magnitude Type: Numerical
59. If Earth is approximately 4.5 billion years old, estimate the order of magnitude for the
number of times it has rotated about its own axis. (Assume a constant rate of rotation.)
A) 109 B) 1010 C) 1011 D) 1012 E) 1014
Ans: D
Section: 1–5 Status: New to 5th edition Topic: Significant Figures & Order of
Magnitude Type: Numerical
60. If you have a music CD collection of about 150 discs, estimate the order of magnitude
of the number of heartbeats you would have if you listened all the way through your
collection.
A) 106 B) 108 C) 1010 D) 104 E) 103
Ans: A
Chapter 1: Systems of Measurement
Page 11
Section: 1–5 Status: New to 5th edition Topic: Significant Figures & Order of
Magnitude Type: Numerical
61. A diehard music lover still prefers to listen to his vinyl records, which rotate at 33 3
1
revolutions per minute. If he listens for an average of three hours per day, estimate the
order of magnitude for the number of revolutions his turntable makes in a year.
A) 107 B) 102 C) 106 D) 105 E) 104
Ans: C
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
62.
The vector equation that describes the relationship among vectors A , B , and C
is
A) B = C
+ A D) A = B –
C
B) B = C
– A E) A = B +
C
C) C = A – B
Ans: B
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
63.
The vector in the figure that could represent the vector A – B is
A) 1 B) 2 C)
3 D) 4 E)
5
Ans: B
Chapter 1: Systems of Measurement
Page 12
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
64.
Which of the following vector equations correctly describes the relationship among the
vectors shown in the figure?
A) A + B – C
= 0 D) A + B +
C = 0
B) A – B + C
= 0 E) None of these equations is correct.
C) A – B – C
= 0
Ans: B
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
65.
The angle between vectors A and B is 30º, and their sum is C
. Which vector diagram
correctly describes the vectors A , B , and C
?
A) 1 B) 2 C) 3 D) 4 E) 5
Ans: B
Chapter 1: Systems of Measurement
Page 13
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
66. Two vector quantities, whose directions can be altered at will, can have a resultant of
any magnitude between the limits 0 and 200. The magnitude of each vector quantity
must therefore be
A) between 0 and 80. D) exactly 100.
B) between 120 and 200. E) more than 100.
C) less than 100.
Ans: D
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
67. Two vector quantities, whose directions can be altered at will, can have a resultant
between the limits 5 and 15. The magnitudes of these two vector quantities could be
A) 2 and 2 B) 5 and 10 C) 20 and 40 D) 20 and 50 E) 59 and 97
Ans: B
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
68. The components of a vector are Ax = –10 units and Ay = 6 units. What angle does this
vector make with the positive x axis?
A) 31º B) –31º C) 180º – 31º D) 180º + 31º E) 90º – 31º
Ans: C
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
69. What is the least number of non-zero vectors that can be added to give a resultant equal
to zero?
A) 2 B) 3 C) 4 D) 5 E) It cannot be done.
Ans: A
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
70. Three vectors A , B , and
C have the following x and y components:
A B C
x component +6 –3 +2
y component –3 +4 +5
The magnitude of the resultant of A , B , and C
is
A) 3.3 B) 5.0 C) 11 D) 7.8 E) 14
Ans: D
Chapter 1: Systems of Measurement
Page 14
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
71. Three vectors A , B , and
C have the following x and y components:
A B C
x component +6 –3 +2
y component –3 +4 +5
The angle that the resultant makes with the positive direction of the x axis is
A) 1.2º B) 36º C) 50º D) 40º E) 70º
Ans: C
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
72.
A car proceeding due south at 60 km/h (v
1) makes a right turn, after which it is
traveling due west at 80 km/h (v
2). What is its change in velocity (v
2 – v
1)?
A) 100 km/h 37º north of west D) 20 km/h 37º north of west
B) 100 km/h 37º south of west E) 20 km/h 37º south of west
C) 20 km/h west
Ans: A
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
73. Two vectors A and B are added to give a resultant R . The components of A are Ax =
–8.0 units and Ay = 6.0 units and the components of B are Bx = 1.0 units and By = –1.0
units. The magnitude of vector R is
A) –1.0 units B) +8.6 units C) +19 units D) +2.0 units E) –3.2 units
Ans: B
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
74. Vector A has components Ax = +4.0 units and Ay = +3.2 units, whereas vector B has
components Bx = +2.5 units and By = +5.5 units. The angle between the two vectors is
A) 24º B) 65º C) 27º D) 39º E) 14º
Ans: C
Chapter 1: Systems of Measurement
Page 15
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
75. Vectors A , B , and
C have the following components, expressed in arbitrary units:
A B C
x component +4.60 –3.10 +5.30
y component –3.10 +2.30 –2.50
Vector D is defined so that
A + B + C
+ D = 0
The magnitude and direction of D relative to the positive x axis are
A) 7.6 units at –26º D) 3.5 units at 29º
B) 7.6 units at 154º E) 10 units at 29º
C) 14 units at 26º
Ans: B
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
76. Vectors A and B have the following components:
Ax = 5 units Ay = 2 units
Bx = 3 units By = 4 units
The angle between the positive x axis and the vector A – B is
A) –45º B) 194º C) 37º D) –54º E) 86º
Ans: A
Section: 3–2 Topic: General Properties of Vectors Type: Numerical
77. Vectors A and B have the following components:
A B x component +5 units –3 units
y component –2 units –4 units
The magnitude of the vector A – B is
A) 6.3 units B) 10.0 units C) 2.8 units D) 8.2 units E) 16 units
Ans: D
Chapter 1: Systems of Measurement
Page 16
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
78. The components of four vectors are as follows:
A B C
D x component +2.5 units +6.1 units –3.6 units –1.5 units
y component +4.3 units –2.1 units +1.0 units –7.3 units
The angle that the resultant vector makes with the positive x axis is
A) –40º B) 59º C) –49.5º D) 37º E) –23º
Ans: C
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
79. Vectors A , B ,
C, and D have the following components:
A B C
D x component +2.5 units +6.1 units –3.6 units –1.5 units
y component +4.3 units –2.1 units +1.0 units –7.3 units
The magnitude of the resultant is
A) – 4.6 units B) 5.4 units C) 29 units D) 3.5 units E) 7.3 units
Ans: B
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
80. The length of the vector A = 3
i – 4
j + 5
k is approximately
A) 5.00 units B) 6.40 units C) 5.83 units D) 7.07 units E) 50.0 units
Ans: D
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
81. What angle does the vector A = 3
i– 4
j + 5
k make with the positive z axis?
A) 55.5º B) 45.0º C) 64.9º D) 34.5º E) 25.1º
Ans: B
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
82. The length of the vector A = 5
i + 12
j is
A) 169 units D) 17 units
B) 144 units E) None of these is correct.
C) 25 units
Ans: E
Chapter 1: Systems of Measurement
Page 17
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
83. Given vector A , the vector 3 A
A) has a magnitude 3 times that of A .
B) points in the same direction as A .
C) has components each of which is 3 times those of A .
D) makes the same angle with a given axis as does A .
E) is described by all of these.
Ans: E
Section: 1–7 Topic: General Properties of Vectors Type: Numerical
84. What angle does the vector A = 5
i – 12
j make with the positive x axis?
A) 67.4º B) 22.6º C) 36.9º D) 53.1º E) 24.6º
Ans: A
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
85.
A velocity vector has an x component of +5.5 m/s and a y component of –3.5 m/s. The
diagram that gives the direction of the vector is
A) 1 B) 2 C) 3 D) 4 E) None of these is correct.
Ans: B
Section: 1–7 Status: New to 6th edition Topic: General Properties of Vectors
Type: Conceptual
86. A vector of magnitude 5 points in the +y direction. Another vector of magnitude 4 is
added to the first vector. The largest possible magnitude of the sum is
A) 1 B) 4 C) 5 D) 9 E) 10
Ans: D
Section: 1–7 Status: New to 6th edition Topic: General Properties of Vectors
Type: Conceptual
87. A vector of magnitude 5 points in the +y direction. Another vector of magnitude 4 is
subtracted from the first vector. The smallest possible magnitude of the sum is
A) 1 B) 4 C) 5 D) 9 E) 10
Ans: A
Chapter 1: Systems of Measurement
Page 18
Section: 1–7 Status: New to 6th edition Topic: General Properties of Vectors
Type: Conceptual
88. Three vectors BA
, and C
are added together. Which statement below best describes
the additive property of the three vectors?
A) CBA
)( D) BAC
B) )( CBA
E) all the other statements
C) ABC
Ans: E
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
89. The components of a vector
A) are not unique.
B) depend on the axes chosen.
C) can have one of the components equal to zero.
D) can be negative.
E) All of the above.
Ans: E
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
90. A vector A is shown below. The x and y components of the vector are, respectively, y
x
A
A) (A sin , A cos ) or (A sin , A cos )
B) (A sin , A cos ) or (A cos , A sin )
C) (A sin , A sin ) or (A sin , A cos )
D) (A cos , A cos ) or (A sin , A cos )
E) (A cos , A cos ) or (A cos , A cos )
Ans: B
Chapter 1: Systems of Measurement
Page 19
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
91. If the resultant vector of the sum of three vectors is zero, the three vectors must have the
following property.
A) The sum of each component of the three vectors is zero.
B) The sum of any two vectors is the negative of the third vector.
C) All three vectors lie in the same plane.
D) The magnitude of the sum of any two vectors is equal to the magnitude of the third
vector.
E) All the above are correct.
Ans: E
Section: 1–7 Topic: General Properties of Vectors Type: Conceptual
92. Which of the following is NOT a vector?
A) velocity
B) acceleration
C) displacement
D) mass
E) force
Ans: D
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